9x^2-30x+25=(3x-25)

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Solution for 9x^2-30x+25=(3x-25) equation:


Simplifying
9x2 + -30x + 25 = (3x + -25)

Reorder the terms:
25 + -30x + 9x2 = (3x + -25)

Reorder the terms:
25 + -30x + 9x2 = (-25 + 3x)

Remove parenthesis around (-25 + 3x)
25 + -30x + 9x2 = -25 + 3x

Solving
25 + -30x + 9x2 = -25 + 3x

Solving for variable 'x'.

Reorder the terms:
25 + 25 + -30x + -3x + 9x2 = -25 + 3x + 25 + -3x

Combine like terms: 25 + 25 = 50
50 + -30x + -3x + 9x2 = -25 + 3x + 25 + -3x

Combine like terms: -30x + -3x = -33x
50 + -33x + 9x2 = -25 + 3x + 25 + -3x

Reorder the terms:
50 + -33x + 9x2 = -25 + 25 + 3x + -3x

Combine like terms: -25 + 25 = 0
50 + -33x + 9x2 = 0 + 3x + -3x
50 + -33x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
50 + -33x + 9x2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
5.555555556 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.555555556' to each side of the equation.
5.555555556 + -3.666666667x + -5.555555556 + x2 = 0 + -5.555555556

Reorder the terms:
5.555555556 + -5.555555556 + -3.666666667x + x2 = 0 + -5.555555556

Combine like terms: 5.555555556 + -5.555555556 = 0.000000000
0.000000000 + -3.666666667x + x2 = 0 + -5.555555556
-3.666666667x + x2 = 0 + -5.555555556

Combine like terms: 0 + -5.555555556 = -5.555555556
-3.666666667x + x2 = -5.555555556

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -5.555555556 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -5.555555556 + 3.361111114

Combine like terms: -5.555555556 + 3.361111114 = -2.194444442
3.361111114 + -3.666666667x + x2 = -2.194444442

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -2.194444442

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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